Classically Bound and Quantum Quasi-Bound States of an Electron on a Plane Adjacent to a Magnetic Monopole

2025/01/08 by Martin, J., Baskerville, A., Campo, V. L. +6
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2501.04406

Abstract

In three-dimensional space an electron moving in the field of a magnetic monopole has no bound states. In this paper we explore the physics when the electron is restricted to a two-dimensional plane adjacent to a magnetic monopole. We find bound states in the classical version of the problem and quasi-bound states in the quantum one, in addition to a continuum of scattering states. We calculate the lifetimes of the quasi-bound states using several complementary approximate methods, which agree well in the cases where the lifetimes are relatively short. The threshold monopole magnetic charge required to realise a single quasi-bound state is approximately 18Q_D, where Q_D is the magnetic charge of a Dirac monopole. We examine the feasibility of achieving this magnetic charge in currently available monopole analogues: spin ice, artificial spin ice, and magnetic needles.

Related

• Bohr quantum theory of the magnetic monopoles and classical electron electromagnetic mass problem
• Magnetic Monopole Molecules
• Bound States of the particles with Identical Charge in Magnetic Field
• Quantum monopole via Heisenberg quantization
• Quantum Mechanics of the Electric Charge